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Finding the Fourth Proportional to 34,102.62, 51,146.64 and 10,723.86

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Solution

The fourth proportional to 34,102.62, 51,146.64 and 10,723.86 is: 16,083.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,102.62 : 51,146.64 = 10,723.86 : x
  2. Step 2: Convert to fraction form
    34,102.62/51,146.64 = 10,723.86/x
  3. Step 3: Cross multiply
    34,102.62x = 51,146.64 × 10,723.86
  4. Step 4: Simplify right side
    34,102.62x = 548,489,406.83
  5. Step 5: Solve for x
    x = 548,489,406.83/34,102.62
  6. Step 6: Final answer
    x = 16,083.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.